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211103101301112 = 233223227561575851
BaseRepresentation
bin101111111111111101000101…
…010111010011000101111000
31000200110021000002120111110200
4233333331011113103011320
5210132203122413113422
62024551231555442200
762315460434223636
oct5777750527230570
91020407002514420
10211103101301112
116129a360268829
121b8152415b6360
1390a3c24884987
143a1b632072356
151961421d872ac
hexbfff455d3178

211103101301112 has 96 divisors (see below), whose sum is σ = 599223897118080. Its totient is φ = 67011723028800.

The previous prime is 211103101301093. The next prime is 211103101301201.

211103101301112 is a `hidden beast` number, since 2 + 1 + 110 + 310 + 130 + 1 + 112 = 666.

211103101301112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280412014 + ... + 281163837.

It is an arithmetic number, because the mean of its divisors is an integer number (6241915594980).

Almost surely, 2211103101301112 is an apocalyptic number.

It is an amenable number.

211103101301112 is an abundant number, since it is smaller than the sum of its proper divisors (388120795816968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211103101301112 is a wasteful number, since it uses less digits than its factorization.

211103101301112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561576113 (or 561576106 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 21110310 and 1301112, that added together give a palindrome (22411422).

The spelling of 211103101301112 in words is "two hundred eleven trillion, one hundred three billion, one hundred one million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 227 276 414 454 552 681 828 908 1362 1656 1816 2043 2724 4086 5221 5448 8172 10442 15663 16344 20884 31326 41768 46989 62652 93978 125304 187956 375912 561575851 1123151702 1684727553 2246303404 3369455106 4492606808 5054182659 6738910212 10108365318 12916244573 13477820424 20216730636 25832489146 38748733719 40433461272 51664978292 77497467438 103329956584 116246201157 127477718177 154994934876 232492402314 254955436354 309989869752 382433154531 464984804628 509910872708 764866309062 929969609256 1019821745416 1147299463593 1529732618124 2294598927186 2931987518071 3059465236248 4589197854372 5863975036142 8795962554213 9178395708744 11727950072284 17591925108426 23455900144568 26387887662639 35183850216852 52775775325278 70367700433704 105551550650556 211103101301112